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130007727 = 334815101
BaseRepresentation
bin1111011111111…
…00001010101111
3100001122002002000
413233330022233
5231240221402
620522303343
73136022163
oct757741257
9301562060
10130007727
1167427803
1237657b53
1320c1c165
14133a2ca3
15b630c1c
hex7bfc2af

130007727 has 8 divisors (see below), whose sum is σ = 192604080. Its totient is φ = 86671800.

The previous prime is 130007711. The next prime is 130007767. The reversal of 130007727 is 727700031.

It is not a de Polignac number, because 130007727 - 24 = 130007711 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 4815101 = 130007727 / (1 + 3 + 0 + 0 + 0 + 7 + 7 + 2 + 7).

It is a self number, because there is not a number n which added to its sum of digits gives 130007727.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130007767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2407524 + ... + 2407577.

It is an arithmetic number, because the mean of its divisors is an integer number (24075510).

Almost surely, 2130007727 is an apocalyptic number.

130007727 is a deficient number, since it is larger than the sum of its proper divisors (62596353).

130007727 is an equidigital number, since it uses as much as digits as its factorization.

130007727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4815110 (or 4815104 counting only the distinct ones).

The product of its (nonzero) digits is 2058, while the sum is 27.

The square root of 130007727 is about 11402.0930973221. The cubic root of 130007727 is about 506.5897384839.

Adding to 130007727 its reverse (727700031), we get a palindrome (857707758).

The spelling of 130007727 in words is "one hundred thirty million, seven thousand, seven hundred twenty-seven".

Divisors: 1 3 9 27 4815101 14445303 43335909 130007727